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Simplifying 3(5c + -1) + -1 = 13c + 6 Reorder the terms: 3(-1 + 5c) + -1 = 13c + 6 (-1 * 3 + 5c * 3) + -1 = 13c + 6 (-3 + 15c) + -1 = 13c + 6 Reorder the terms: -3 + -1 + 15c = 13c + 6 Combine like terms: -3 + -1 = -4 -4 + 15c = 13c + 6 Reorder the terms: -4 + 15c = 6 + 13c Solving -4 + 15c = 6 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -4 + 15c + -13c = 6 + 13c + -13c Combine like terms: 15c + -13c = 2c -4 + 2c = 6 + 13c + -13c Combine like terms: 13c + -13c = 0 -4 + 2c = 6 + 0 -4 + 2c = 6 Add '4' to each side of the equation. -4 + 4 + 2c = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 6 + 4 2c = 6 + 4 Combine like terms: 6 + 4 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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